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geometry[GlideReflection] - find the glide-reflection of a geometric object
Calling Sequence
GlideReflection(Q, P, l, AB)
Parameters
Q
-
the name of the object to be created
P
geometric object
l
line
AB
directed segment on l
Description
Let l be a fixed line of the plane and AB a given directed segment on l. By the glide-reflection we mean the product where is the reflection with respect to the line l, and is the translation with respect to the directed segment AB. The line l is called the axis of the glide-reflection, and the directed segment AB on l is called the vector of the glide-reflection.
For a detailed description of Q (the object created), use the routine detail (i.e., detail(Q))
The command with(geometry,GlideReflection) allows the use of the abbreviated form of this command.
Examples
translate c1 with respect to the directed segment MN, then reflect this object with respect to the line l
assume that the names of the horizontal and vertical axes are _x and _y, respectively
See Also
geometry[draw], geometry[objects], geometry[reflection], geometry[transformation], geometry[translation]
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